Calendar.app fails to correctly display starting time of appointment when synced with google calendar

You may be able to fix it by doing the following:

1. Open the Settings on your iPhone
2. Select "Mail, Contacts, Calendars"
3. Scroll down to the Calendars section
4. Select "Time Zone Support"
5. Turn on Time Zone support

Or maybe you want to turn time zone support off? It's a little confusing. Here's what Apple says:

When Time Zone Support is on, Calendar displays event dates and times in the time zone set for your calendars. When Time Zone Support is off, Calendar displays events in the time zone of your current location.

Did you create the account using CalDAV, as Google recommends? It could of course be a bug in Calendar.app, but I would make sure that the recommended settings are used. See here: https://support.google.com/calendar/answer/99358?hl=en

Indeed, as rob speculated, Google doesn't provide Exchange ActiveSync any more for new devices: https://support.google.com/a/answer/2716936?hl=en

However, that doesn't seem to be the reason for the problem in question. For me nothing was synced an a new iPhone with an Exchange type Google account, and thus, there were no events to be deleted either. I switched to using CalDAV, which works fine.